Submission #623993

#	Time	Username	Problem	Language	Result	Execution time	Memory
623993		Arnch	Split the sequence (APIO14_sequence)	C++17	0 / 100	55 ms	131072 KiB

sequence

// oooo
/*
 har chi delet mikhad bebar ~
 gitar o ba khodet nabar! ~
 ;Amoo_Hasan;
*/

#include<bits/stdc++.h>
//#pragma GCC optimize("O3,no-stack-protector,unroll-loops")
//#pragma GCC target("avx2,fma")

using namespace std;

typedef long long ll;
typedef long double ld;

#define Sz(x) int((x).size())
#define All(x) (x).begin(), (x).end()
#define wtf(x) cout<<#x <<" : " <<x <<endl
#define mak make_pair

constexpr ll INF = 1e18, N = 1e5 + 10, MAXK = 2e2 + 10;

ll a[N], ps[N], dp[N][MAXK];
pair<ll, ll> par[N][MAXK];
bool mark[N];

/*inline pair<ll, ll> Solve(int l, int r) {
	ll ans = 0, sum = 0, pos = 0;
	sum = ps[r - 1] - ps[l - 1];
	for(int i = l; i < r - 1; i++) {
		ll val = ps[i] - ps[l - 1];
		val *= (sum - val);
		if(val >= ans) {
			ans = val, pos = i;
		}
	}
	return mak(ans, pos + 1);
}
vector<int> vc;
vc.push_back(1), vc.push_back(n + 1);

ll sum = 0;
while(k--) {
	ll mx = 0, ind = 0;
	for(int i = 0; i < Sz(vc) - 1; i++) {
		int l = vc[i], r = vc[i + 1];
		if(r - l == 1) continue;
		pair<ll, ll> p = Solve(l, r);
		if(p.first >= mx) ind = p.second;
		mx = max(mx, p.first);
	}
	sum += mx;
	vc.push_back(ind);
	sort(All(vc));
}

cout<<sum <<endl;
for(auto i : vc) {
	if(i != 1 && i != n + 1) cout<<i - 1 <<" ";
}*/


int main() {
    ios :: sync_with_stdio(0), cin.tie(0);

	int n, k; cin >>n >>k;
	for(int i = 1; i <= n; i++) cin >>a[i];

	for(int i = 1; i <= n; i++) ps[i] = ps[i - 1] + a[i];

	memset(dp, 63, sizeof(dp));
	dp[0][0] = 0;

	for(int i = 1; i <= n; i++) {
		for(int j = 1; j <= min(k + 1, i); j++) {
			ll val = INF;
			for(int x = i - 1; x >= 0; x--) {
				if(dp[x][j - 1] >= INF) continue;
			//	ll cnt = dp[x][j - 1] + (ps[i] - ps[x]) * (ps[i] - ps[x]);
				ll cnt = 0;
				if(cnt < val) {
					val = cnt;
					par[i][j] = mak(x, j - 1);
				}
			}
			dp[i][j] = val;
		}
	}

	ll ans = ps[n] * ps[n];
	ans -= dp[n][k + 1];
	ans /= 2;

	cout<<ans <<endl;
/*
	vector<int> pos;

	pair<ll, ll> p = mak(n, k + 1);
	while(p.second > 0) {
		p = par[p.first][p.second];
		if(p.first > 0) pos.push_back(p.first);
	}

	while(!pos.empty()) {
		cout<<pos.back() <<" ";
		pos.pop_back();
	}*/	

    return 0;
}

• Subtask 1: 0 / 11
• Subtask 2: 0 / 11
• Subtask 3: 0 / 11
• Subtask 4: 0 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29